This book focuses on filtering, control and model-reduction problems for two-dimensional (2-D) systems with imperfect information. The time-delayed 2-D systems covered have system parameters subject to uncertain, stochastic and parameter-varying changes.

After an initial introduction of 2-D systems and the ideas of linear repetitive processes, the text is divided into two parts detailing:

· General theory and methods of analysis and optimal synthesis for 2-D systems; and

· Application of the general theory to the particular case of differential/discrete linear repetitive processes.

The methods developed provide a framework for stability and performance analysis, optimal and robust controller and filter design and model approximation for the systems considered. Solutions to the design problems are couched in terms of linear matrix inequalities.

For readers interested in the state of the art in linear filtering, control and model reduction, Filtering and Control for Classes of Two-Dimensional Systems will be a useful reference for exploring the field of 2-D systems either from a purely theoretical research perspective or from the point of view of a multitude of potential applications including image processing, and the study of seismographic data or thermal processes.

Provides the reader with the latest theoretical developments in the widely applied class of uncertain 2-D systems Simulation examples in each chapter reflect the state of engineering practice and demonstrate the theoretical methods proposed Uses the increasingly popular matrix-inequality approach to unify existing and newly developed concepts in the filtering, control and model reduction of systems with imperfect information Includes supplementary material: sn.pub/extras

Autorentext
Zidong Wang is currently Professor of Dynamical Systems and Computing at Brunel University, West London, United Kingdom. From January 1997 to December 1998, he was an Alexander von Humboldt research fellow with the Control Engineering Laboratory, Ruhr-University Bochum, Germany. From January 1999 to February 2001, he was a Lecturer with the Department of Mathematics, University of Kaiserslautern, Germany. From March 2001 to July 2002, he was a University Senior Research Fellow with the School of Mathematical and Information Sciences, Coventry University, U.K. In August 2002, he joined the Department of Information Systems and Computing, Brunel University, U.K., as a Lecturer, and was then promoted to a Reader in September 2003 and to a Chair Professor in July 2007. Professor Wang's research interests include dynamical systems, signal processing, bioinformatics, control theory and applications. He has published more than 200 papers in refereed international journals. His publications have received more than 5000 citations (excluding self-citations) with h-index 48. He was awarded the Humboldt research fellowship in 1996 from Alexander von Humboldt Foundation, the JSPS Research Fellowship in 1998 from Japan Society for the Promotion of Science, and the William Mong Visiting Research Fellowship in 2002 from the University of Hong Kong.

Zusammenfassung
"This book presents up-to-date research developments and novel methodologies on linear two-dimensional (2-D) systems. ... The book is addressed to postgraduate students and scientists." (T. Kaczorek, Mathematical Reviews, July, 2015)

Inhalt
General Theory of Some Classes of 2-D Systems.- Robust Filtering of 2-D Uncertain State-Delayed Systems.- Robust Filtering of 2-D Linear Parameter-Varying Systems.- Filter Design Approach to Fault Detection of 2-D Markovian Jump Systems.- Dynamic Output Feedback Control of 2-D Linear Parameter-Varying Systems.- Sliding-Mode Control of 2-D Systems.- Model Approximation of 2-D State-Delayed Systems. Part II: A Special Class of 2-D Systems: Linear Repetitive Processes.- Robust Filtering of Differential and Discrete LRPs.- Reduced-Order Robust Filter Design for Discrete LRPs.- Filter Design Approach to Fault Detection of Discrete LRPs.- Dynamic Output Feedback Control of Differential and Discrete LRPs.- State Estimation and Quasi-Sliding-Mode Control of Differential LRPs.- Model Approximation of Differential and Discrete LRPs.- Conclusion and Further Work.